Search a number
-
+
13103200322010 = 236517105730657
BaseRepresentation
bin1011111010101101001110…
…0110011100000111011010
31201101122122120010002000000
42332223103212130013122
53204140323240301020
643511305505353430
72521450343020641
oct276532346340732
951348576102000
1013103200322010
1141a2043a89117
1215775a3338876
1374081b51a106
143342ac116358
1517ac9e835090
hexbead399c1da

13103200322010 has 112 divisors (see below), whose sum is σ = 37442609378856. Its totient is φ = 3288646324224.

The previous prime is 13103200321999. The next prime is 13103200322029. The reversal of 13103200322010 is 1022300230131.

13103200322010 is a `hidden beast` number, since 1 + 3 + 10 + 320 + 0 + 322 + 0 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8676035051121 + 4427165270889 = 2945511^2 + 2104083^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 52741399 + ... + 52989258.

Almost surely, 213103200322010 is an apocalyptic number.

13103200322010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13103200322010 is an abundant number, since it is smaller than the sum of its proper divisors (24339409056846).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13103200322010 is a wasteful number, since it uses less digits than its factorization.

13103200322010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105730699 (or 105730684 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13103200322010 its reverse (1022300230131), we get a palindrome (14125500552141).

The spelling of 13103200322010 in words is "thirteen trillion, one hundred three billion, two hundred million, three hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 510 729 765 810 918 1215 1377 1458 1530 2295 2430 2754 3645 4131 4590 6885 7290 8262 12393 13770 20655 24786 41310 61965 123930 105730657 211461314 317191971 528653285 634383942 951575913 1057306570 1585959855 1797421169 1903151826 2854727739 3171919710 3594842338 4757879565 5392263507 5709455478 8564183217 8987105845 9515759130 10784527014 14273638695 16176790521 17128366434 17974211690 25692549651 26961317535 28547277390 32353581042 42820916085 48530371563 51385099302 53922635070 77077648953 80883952605 85641832170 97060743126 128462748255 145591114689 154155297906 161767905210 242651857815 256925496510 291182229378 385388244765 436773344067 485303715630 727955573445 770776489530 873546688134 1310320032201 1455911146890 2183866720335 2620640064402 4367733440670 6551600161005 13103200322010